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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Preasymptotic estimates for approximation of multivariate periodic Sobolev functions

## Preasymptotic estimates for approximation of multivariate periodic Sobolev functionsAdd to your list(s) Download to your calendar using vCal - Thomas Kuehn (Universität Leipzig )
- Thursday 21 February 2019, 09:00-09:35
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. ASCW01 - Challenges in optimal recovery and hyperbolic cross approximation Approximation of Sobolev functions is a topic with a long history and many applications in different branches of mathematics. The asymptotic order as $n\to\infty$ of the approximation numbers $a_n$ is well-known for embeddings of isotropic Sobolev spaces and also for Sobolev spaces of dominating mixed smoothness. However, if the dimension $d$ of the underlying domain is very high, one has to wait exponentially long until the asymptotic rate becomes visible. Hence, for computational issues this rate is useless, what really matters is the preasymptotic range, say $n\le 2 This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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